Answer:
The distance of Stephan's root is 3.125 km
Step-by-step explanation:
To solve the question we follow each of the statements individually one after the other calculating the values as we proceed.
Anya's route is 21/4 kilometers
Jose's is 11/2 fewer kilometers than Anya's routem= 21/4 -11/2 = 3/4 kilometers
Cali's route is 11/2 times as long as Jose's route which is equal to 3/4×11/2 =9/8 km or 1.125 Km
Cali's route is 2 km fewer than Stephan's route
Therefore Stephan's route is equal to 2 km + Cali's route or = 2 + 1.125 = 3.125 km
Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
69 1/4 is the proper fraction. 277/4 would be the improper fraction.
Answer:
y=15; y=5
Step-by-step explanation:
y=x2+2x
plug in x as 3:
y=3 2+ 2*3
y=9+6
y=15
Next problem:
y=x3-3
plug in x as 2:
y=2 3-3
y=8-3
y=5